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Beliebt Geometry >

leitkurve 8-5x+x^2

Lösung

leitkurve

8 - 5 x + x^{2}

Lösung

y = \frac{3}{2}

Schritte zur Lösung

Rewrite

y = 8 - 5 x + x^{2}

in the standard form

4 \cdot \frac{1}{4} (y - \frac{7}{4}) = (x - \frac{5}{2})^{2}

(h, k) = (\frac{5}{2}, \frac{7}{4}), p = \frac{1}{4}

Parabola is symmetric around the y-axis and so the directrix is a line parallel to the x-axis, a distance

- p

from the center

(\frac{5}{2}, \frac{7}{4})

y-coordinate

y = \frac{7}{4} - p

y = \frac{7}{4} - \frac{1}{4}

Fasse zusammen

y = \frac{3}{2}

Graph

Beliebte Beispiele

leitkurve x^2-4x-5y+7=0

d i rec t r i x x^{2} - 4 x - 5 y + 7 = 0

leitkurve+x^2+4x+6

d i rec t r i x + x^{2} + 4 x + 6

leitkurve x=3y^2-6y+5

d i rec t r i x x = 3 y^{2} - 6 y + 5

leitkurve (y+1)^2=12x

d i rec t r i x (y + 1)^{2} = 12 x

leitkurve (y-2)^2=40(x-2)

d i rec t r i x (y - 2)^{2} = 40 (x - 2)